102121212200 has 96 divisors (see below), whose sum is σ = 271996757760. Its totient is φ = 34929619200.

The previous prime is 102121212143. The next prime is 102121212223. The reversal of 102121212200 is 2212121201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502769 + ... + 676031.

It is an arithmetic number, because the mean of its divisors is an integer number (2833299560).

Almost surely, 2^102121212200 is an apocalyptic number.

102121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135998378880).

102121212200 is an abundant number, since it is smaller than the sum of its proper divisors (169875545560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121212200 is a wasteful number, since it uses less digits than its factorization.

102121212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173707 (or 173698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102121212200 its reverse (2212121201), we get a palindrome (104333333401).

Subtracting from 102121212200 its reverse (2212121201), we obtain a palindrome (99909090999).

The spelling of 102121212200 in words is "one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".